What is the slope of the line passing through the following points: # ( -7, 5), (-3, -1)#?

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Answer 1 · 2016-07-27T13:22:22

The slope would be #m=-3/2#

The slope of the line is determined by the change in #y# over the change in #x#.

#(Deltay)/(Deltax)#

#m=(y_2-y_1)/(x_2-x_1)#

Using the points (-7,5) and (-3,-1)

#x_1=-7#
#y_1=5#
#x_2=-3#
#y_2=-1#

#m = (-1-5)/((-3)-(-7))#

#m = (-1-5)/(-3+7)#

#m = (-6)/(4)#

#m=-3/2#